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Finding the Fourth Proportional to 778.24, 1,166.21 and 582.32

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Solution

The fourth proportional to 778.24, 1,166.21 and 582.32 is: 872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.24 : 1,166.21 = 582.32 : x
  2. Step 2: Convert to fraction form
    778.24/1,166.21 = 582.32/x
  3. Step 3: Cross multiply
    778.24x = 1,166.21 × 582.32
  4. Step 4: Simplify right side
    778.24x = 679,107.41
  5. Step 5: Solve for x
    x = 679,107.41/778.24
  6. Step 6: Final answer
    x = 872.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.